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Finding the Fourth Proportional to 2,378.59, 3,567.93 and 647.21

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Solution

The fourth proportional to 2,378.59, 3,567.93 and 647.21 is: 970.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.59 : 3,567.93 = 647.21 : x
  2. Step 2: Convert to fraction form
    2,378.59/3,567.93 = 647.21/x
  3. Step 3: Cross multiply
    2,378.59x = 3,567.93 × 647.21
  4. Step 4: Simplify right side
    2,378.59x = 2,309,199.98
  5. Step 5: Solve for x
    x = 2,309,199.98/2,378.59
  6. Step 6: Final answer
    x = 970.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.